Formula for multiplication of solutions of the Cortevegs—de Fries equations
A formula of the multiplication of solutions of the Kortweg-deVries equation is proposed. With the help of the indicated formula, sets are constructed of solutions of the indicated equation. The Riccati equations are solved, which appear in the multiplication process.
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| Date: | 1992 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7972 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512839805960192 |
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| author | Fushchich , V. I. Tychinin , V. A. Serov , N. I. Фущич , В. И. Тычинин , В. А. Серов , Н. И. |
| author_facet | Fushchich , V. I. Tychinin , V. A. Serov , N. I. Фущич , В. И. Тычинин , В. А. Серов , Н. И. |
| author_sort | Fushchich , V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-12-01T10:43:23Z |
| description | A formula of the multiplication of solutions of the Kortweg-deVries equation is proposed. With the help of the indicated formula, sets are constructed of solutions of the indicated equation. The Riccati equations are solved, which appear in the multiplication process. |
| first_indexed | 2026-03-24T03:35:10Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-7972 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:35:10Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c6/2d7de0f668faa09631cf4463a81c73c6.pdf |
| spelling | umjimathkievua-article-79722023-12-01T10:43:23Z Formula for multiplication of solutions of the Cortevegs—de Fries equations Формула размножения решений уравнений Кортевега — де Фриза Fushchich , V. I. Tychinin , V. A. Serov , N. I. Фущич , В. И. Тычинин , В. А. Серов , Н. И. A formula of the multiplication of solutions of the Kortweg-deVries equation is proposed. With the help of the indicated formula, sets are constructed of solutions of the indicated equation. The Riccati equations are solved, which appear in the multiplication process. Предложена формула размножения решений уравнения Кортевега — де Фриза. С помощью указанной формулы построены множества решений данного уравнения. Решены уравнения Риккати, которые появляются в процессе размножения. Запропонована формула розмноження розв’язків рівняння Кортевега — де Фріза. За допомогою вказаної формули побудовані множини розв’язків даного рівняння. Розв’язані рівняння Ріккаті, які виникають в процесі розмноження. Institute of Mathematics, NAS of Ukraine 1992-05-26 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7972 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 5 (1992); 716-719 Український математичний журнал; Том 44 № 5 (1992); 716-719 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7972/9566 |
| spellingShingle | Fushchich , V. I. Tychinin , V. A. Serov , N. I. Фущич , В. И. Тычинин , В. А. Серов , Н. И. Formula for multiplication of solutions of the Cortevegs—de Fries equations |
| title | Formula for multiplication of solutions of the Cortevegs—de Fries equations |
| title_alt | Формула размножения решений уравнений Кортевега — де Фриза |
| title_full | Formula for multiplication of solutions of the Cortevegs—de Fries equations |
| title_fullStr | Formula for multiplication of solutions of the Cortevegs—de Fries equations |
| title_full_unstemmed | Formula for multiplication of solutions of the Cortevegs—de Fries equations |
| title_short | Formula for multiplication of solutions of the Cortevegs—de Fries equations |
| title_sort | formula for multiplication of solutions of the cortevegs—de fries equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7972 |
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